After a month delay, the Massachusetts Department of Transportation board unanimously approved $13.1 million in state grants for the new terminal for Barnstable Municipal Airport.

The MassDOT board delayed action on the grant last month to review concerns raised by Botsini-Prime, which owns the Wendy’s property. Botsini-Prime has two appeals pending in Land Court regarding the most recent approvals by the Cape Cod Commission to allow the project to go forward. It contends that building permits shouldn’t have been issued and the state’s funds are put at risk for moving ahead before those appeals are resolved.

MassDOT saw it differently.

Airport officials agreed to the board’s stipulation to condition reimbursement of construction expenses on the resolution of a legal claim brought by an airport abutter over unrelated traffic issues.

The state grant represents nearly 90 percent of the overall cost of designing and building the $15.1 million facility that will replace today’s half-century-old structure. The balance of funds will come from airport reserves.

The airport and Botsini-Prime attended a scheduling session on the appeals two weeks ago to determine timelines for the appeal.

Preliminary construction on the terminal started August 30 and is expected to take about a year.